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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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MP 8,93,96,97,99 Hindustan: Evaluate ∫ sec(x)/(sec(x)-tan(x)) dx
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lim x/e^x? as x→∞
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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx
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Pantun Melayu [Buah cempedak di luar pagar]
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2nd way: integral ∫(6+4x--2x^2) dx via 1) complete sq 2) then trig. sub
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exp Calculate ∫x^3 3^x dx via IBP
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Columbia U: 1st way integral ∫√(x^2-9)/x^4 dx
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Lamar U: Use log. differentiation to find the 1st derivative of the given function
Screen Recording 2024-05-11 at 9.05.02 PM
2 ways: derivative √(x+1) √(x-1)
prob stat: 2 ways Joe's mean mark for the physics tests for the term was 72.
MIT Integration Bee Qual. Exam #9: integral (2logx+1)e^(log(x))^2 dx
Columbia U: 5th/6 ways Evaluate the indefinite integral ∫1/(1+e^x) dx
2nd way: integral ∫x^k ln(x) dx = x^(k+1)/(k+1) ln(x) - x^(k+1)/(k+1)^2 + C where C ≠ -1
Rutgers U: 2nd way compute ∫√(x^2 -2)/x dx
Columbia U: 2nd way integral Find ∫1/(x √(9-x^2)) dx withOUT trig-sub
U Penn: Show that the following decomposition CANNOT hold ...
If pv^a=C (where a & C are constant) find dv/dp & d2v/dp2